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Finding the Third Proportional to 12,915,764,657 and 20,216,699,274

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Solution

The third proportional to 12,915,764,657 and 20,216,699,274 is: 31,644,655,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915,764,657 : 20,216,699,274 = 20,216,699,274 : x
  2. Step 2: Convert to fraction form
    12,915,764,657/20,216,699,274 = 20,216,699,274/x
  3. Step 3: Cross multiply
    12,915,764,657x = 20,216,699,274 × 20,216,699,274
  4. Step 4: Simplify right side
    12,915,764,657x = 408,714,929,535,352,111,104
  5. Step 5: Solve for x
    x = 408,714,929,535,352,111,104/12,915,764,657
  6. Step 6: Final answer
    x = 31,644,655,999.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.